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Finding the Fourth Proportional to 12,118, 16,724.64 and 6,814.24

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Solution

The fourth proportional to 12,118, 16,724.64 and 6,814.24 is: 9,404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,118 : 16,724.64 = 6,814.24 : x
  2. Step 2: Convert to fraction form
    12,118/16,724.64 = 6,814.24/x
  3. Step 3: Cross multiply
    12,118x = 16,724.64 × 6,814.24
  4. Step 4: Simplify right side
    12,118x = 113,965,710.87
  5. Step 5: Solve for x
    x = 113,965,710.87/12,118
  6. Step 6: Final answer
    x = 9,404.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.